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Finding the Fourth Proportional to 12,262, 16,921.92 and 6,673.36

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Solution

The fourth proportional to 12,262, 16,921.92 and 6,673.36 is: 9,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262 : 16,921.92 = 6,673.36 : x
  2. Step 2: Convert to fraction form
    12,262/16,921.92 = 6,673.36/x
  3. Step 3: Cross multiply
    12,262x = 16,921.92 × 6,673.36
  4. Step 4: Simplify right side
    12,262x = 112,926,064.05
  5. Step 5: Solve for x
    x = 112,926,064.05/12,262
  6. Step 6: Final answer
    x = 9,209.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.